Search a number
-
+
31400406072 = 2332762302393
BaseRepresentation
bin11101001111100111…
…000010110000111000
310000001100101220100200
4131033213002300320
51003302000443242
622231455402200
72161063022250
oct351747026070
9100040356320
1031400406072
111235378a922
126103b23360
132c65556649
14173c424960
15c3ba4e04c
hex74f9c2c38

31400406072 has 48 divisors (see below), whose sum is σ = 97191734640. Its totient is φ = 8971544448.

The previous prime is 31400406061. The next prime is 31400406091. The reversal of 31400406072 is 27060400413.

31400406072 is a `hidden beast` number, since 3 + 14 + 0 + 0 + 40 + 607 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31150693 + ... + 31151700.

It is an arithmetic number, because the mean of its divisors is an integer number (2024827805).

Almost surely, 231400406072 is an apocalyptic number.

It is an amenable number.

31400406072 is an abundant number, since it is smaller than the sum of its proper divisors (65791328568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31400406072 is a wasteful number, since it uses less digits than its factorization.

31400406072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62302412 (or 62302405 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 31400406072 its reverse (27060400413), we get a palindrome (58460806485).

The spelling of 31400406072 in words is "thirty-one billion, four hundred million, four hundred six thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 62302393 124604786 186907179 249209572 373814358 436116751 498419144 560721537 747628716 872233502 1121443074 1308350253 1495257432 1744467004 2242886148 2616700506 3488934008 3925050759 4485772296 5233401012 7850101518 10466802024 15700203036 31400406072